Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime

A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-fi...

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Autores: Hernández Machado, Aurora, Lacasta Palacio, Ana María, Mayoral, E., Corvera Poiré, Eugenia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18713
Acceso en línea:https://hdl.handle.net/2445/18713
Access Level:acceso abierto
Palabra clave:Dinàmica de fluids
Viscositat
Fluid dynamics
Viscosity
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spelling Phase-field model of Hele-Shaw flows in the high-viscosity contrast regimeHernández Machado, AuroraLacasta Palacio, Ana MaríaMayoral, E.Corvera Poiré, EugeniaDinàmica de fluidsViscositatFluid dynamicsViscosityA one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.The American Physical Society201120112003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion6 p.application/pdfhttps://hdl.handle.net/2445/18713Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.046310Physical Review E, 2003, vol. 68, núm. 4, p. 046310-1-046310-6http://dx.doi.org/10.1103/PhysRevE.68.046310(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:recercat.cat:2445/187132026-05-29T05:05:01Z
dc.title.none.fl_str_mv Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
title Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
spellingShingle Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
Hernández Machado, Aurora
Dinàmica de fluids
Viscositat
Fluid dynamics
Viscosity
title_short Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
title_full Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
title_fullStr Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
title_full_unstemmed Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
title_sort Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime
dc.creator.none.fl_str_mv Hernández Machado, Aurora
Lacasta Palacio, Ana María
Mayoral, E.
Corvera Poiré, Eugenia
author Hernández Machado, Aurora
author_facet Hernández Machado, Aurora
Lacasta Palacio, Ana María
Mayoral, E.
Corvera Poiré, Eugenia
author_role author
author2 Lacasta Palacio, Ana María
Mayoral, E.
Corvera Poiré, Eugenia
author2_role author
author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Viscositat
Fluid dynamics
Viscosity
topic Dinàmica de fluids
Viscositat
Fluid dynamics
Viscosity
description A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.
publishDate 2003
dc.date.none.fl_str_mv 2003
2011
2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18713
url https://hdl.handle.net/2445/18713
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.68.046310
Physical Review E, 2003, vol. 68, núm. 4, p. 046310-1-046310-6
http://dx.doi.org/10.1103/PhysRevE.68.046310
dc.rights.none.fl_str_mv (c) The American Physical Society, 2003
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2003
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6 p.
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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